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Theorem multmx-column
⊦ #c mx1 = #r mx2 ∧ c < #c mx2 → (mx1 * mx2)[c]c = mx1 * mx2[c]c
Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 7
Proof steps: 12
Used lemmas:
sum-red
,
multmx-get
,
multmxvec-get
,
multmx-rowno
,
multmxvec-size
,
Used spec theorems:
array
/matrixops/
Extension
matrix+array
/matrixops/
selcol-size
matrix+array
/matrixops/
selcol-get
Used simplifier rules:
matrix+array
/matrixops/
selcol-size
nat-basic
/
f
matrix+array
/matrixops/
selcol-get